You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T+ ao Using the method and equations we discussed in class, find the coefficients a, and a, for the best fit regression line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Part A:
You are calibrating a temperature sensor that you believe will have a linear input/output relationship.
You collect the three data points below:
Temperature
(C)
0
50
100
Output
Voltage (V)
1.2
1.9
3.2
You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and
assume a linear relationship of the form:
V = a₁T + ao
Using the method and equations we discussed in class, find the coefficients a, and a for the best fit
regression line.
Transcribed Image Text:Part A: You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T + ao Using the method and equations we discussed in class, find the coefficients a, and a for the best fit regression line.
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